735625 has 20 divisors (see below), whose sum is σ = 1012176. Its totient is φ = 530000.

The previous prime is 735617. The next prime is 735649. The reversal of 735625 is 526537.

735625 = 133² + 134² + ... + 165².

735625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 735625 - 2³ = 735617 is a prime.

It is a super-2 number, since 2×735625² = 1082288281250, which contains 22 as substring.

735625 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 735593 and 735602.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6822 + ... + 6928.

2⁷³⁵⁶²⁵ is an apocalyptic number.

It is an amenable number.

735625 is a deficient number, since it is larger than the sum of its proper divisors (276551).

735625 is a wasteful number, since it uses less digits than its factorization.

735625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its digits is 6300, while the sum is 28.

The square root of 735625 is about 857.6858399204. The cubic root of 735625 is about 90.2718120099.

It can be divided in two parts, 7356 and 25, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 735625 in words is "seven hundred thirty-five thousand, six hundred twenty-five".