85695435 has 128 divisors (see below), whose sum is σ = 186624000. Its totient is φ = 36481536.

The previous prime is 85695433. The next prime is 85695437. The reversal of 85695435 is 53459658.

85695435 is a `hidden beast` number, since 8 + 569 + 54 + 35 = 666.

It is an interprime number because it is at equal distance from previous prime (85695433) and next prime (85695437).

It is not a de Polignac number, because 85695435 - 2¹ = 85695433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (648000) is a multiple of the sum of its prime factors (162).

It is not an unprimeable number, because it can be changed into a prime (85695433) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1452436 + ... + 1452494.

It is an arithmetic number, because the mean of its divisors is an integer number (1458000).

Almost surely, 2^85695435 is an apocalyptic number.

85695435 is an abundant number, since it is smaller than the sum of its proper divisors (100928565).

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

85695435 is a wasteful number, since it uses less digits than its factorization.

85695435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 85695435 is about 9257.1828868182. The cubic root of 85695435 is about 440.8788134779.

The spelling of 85695435 in words is "eighty-five million, six hundred ninety-five thousand, four hundred thirty-five".