365976 has 96 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 101376.

The previous prime is 365969. The next prime is 365983. The reversal of 365976 is 679563.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (365969) and next prime (365983).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3⁸ + 6⁴ + 9 + 5⁷ + 7² + 6⁷ .

It is a nialpdrome in base 13 and base 14.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 365976.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365976.

It is an unprimeable number.

365976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15901 + ... + 15923.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2³⁶⁵⁹⁷⁶ is an apocalyptic number.

365976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

365976 is an abundant number, since it is smaller than the sum of its proper divisors (813384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

365976 is a wasteful number, since it uses less digits than its factorization.

365976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 58 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 365976 is about 604.9595027768. The cubic root of 365976 is about 71.5293373993.

Subtracting from 365976 its sum of digits (36), we obtain a triangular number (365940 = T₈₅₅).

The spelling of 365976 in words is "three hundred sixty-five thousand, nine hundred seventy-six".