365925 has 48 divisors (see below), whose sum is σ = 749952. Its totient is φ = 153600.

The previous prime is 365903. The next prime is 365929. The reversal of 365925 is 529563.

365925 = T₁₁ + T₁₂ + ... + T₁₂₉.

365925 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 365925 - 2⁷ = 365797 is a prime.

It is a super-2 number, since 2×365925² = 267802211250, which contains 22 as substring.

It is a Curzon number.

365925 is a lucky number.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 365892 and 365901.

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 365925.

It is not an unprimeable number, because it can be changed into a prime (365929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8905 + ... + 8945.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2³⁶⁵⁹²⁵ is an apocalyptic number.

365925 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

365925 is an abundant number, since it is smaller than the sum of its proper divisors (384027).

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

365925 is a wasteful number, since it uses less digits than its factorization.

365925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 73 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

The square root of 365925 is about 604.9173497264. The cubic root of 365925 is about 71.5260146261.

The spelling of 365925 in words is "three hundred sixty-five thousand, nine hundred twenty-five".