535857 has 32 divisors (see below), whose sum is σ = 921600. Its totient is φ = 269568.

The previous prime is 535849. The next prime is 535859. The reversal of 535857 is 758535.

It is not a de Polignac number, because 535857 - 2³ = 535849 is a prime.

Its product of digits (21000) is a multiple of the sum of its prime divisors (125).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535859) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6744 + ... + 6822.

It is an arithmetic number, because the mean of its divisors is an integer number (28800).

2⁵³⁵⁸⁵⁷ is an apocalyptic number.

535857 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

535857 is a deficient number, since it is larger than the sum of its proper divisors (385743).

535857 is a wasteful number, since it uses less digits than its factorization.

535857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125.

The product of its digits is 21000, while the sum is 33.

The square root of 535857 is about 732.0225406366. The cubic root of 535857 is about 81.2237374687.

Subtracting from 535857 its sum of digits (33), we obtain a square (535824 = 732²).

The spelling of 535857 in words is "five hundred thirty-five thousand, eight hundred fifty-seven".