367965 has 48 divisors (see below), whose sum is σ = 746928. Its totient is φ = 165888.

The previous prime is 367957. The next prime is 368021. The reversal of 367965 is 569763.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4356 + 363609 = 66^2 + 603^2 .

It is not a de Polignac number, because 367965 - 2³ = 367957 is a prime.

It is a nialpdrome in base 13.

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 367965.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9927 + ... + 9963.

It is an arithmetic number, because the mean of its divisors is an integer number (15561).

2³⁶⁷⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

367965 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

367965 is a wasteful number, since it uses less digits than its factorization.

367965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 75 counting only the distinct ones).

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

The square root of 367965 is about 606.6011869425. The cubic root of 367965 is about 71.6586854882.

It can be divided in two parts, 36 and 7965, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 367965 in words is "three hundred sixty-seven thousand, nine hundred sixty-five".