365970 has 32 divisors (see below), whose sum is σ = 959040. Its totient is φ = 88640.

The previous prime is 365969. The next prime is 365983. The reversal of 365970 is 79563.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365970.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225 + ... + 884.

It is an arithmetic number, because the mean of its divisors is an integer number (29970).

2³⁶⁵⁹⁷⁰ is an apocalyptic number.

365970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

365970 is an abundant number, since it is smaller than the sum of its proper divisors (593070).

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

365970 is a wasteful number, since it uses less digits than its factorization.

365970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 365970 is about 604.9545437469. The cubic root of 365970 is about 71.5289465008.

Subtracting from 365970 its sum of digits (30), we obtain a triangular number (365940 = T₈₅₅).

It can be divided in two parts, 36 and 5970, that added together give a palindrome (6006).

The spelling of 365970 in words is "three hundred sixty-five thousand, nine hundred seventy".