85953131 has 8 divisors (see below), whose sum is σ = 98702400. Its totient is φ = 74026440.

The previous prime is 85953107. The next prime is 85953137. The reversal of 85953131 is 13135958.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85953131 - 2⁶ = 85953067 is a prime.

It is a super-2 number, since 2×85953131² = 14775881457406322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85953091 and 85953100.

It is not an unprimeable number, because it can be changed into a prime (85953137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205421 + ... + 205838.

It is an arithmetic number, because the mean of its divisors is an integer number (12337800).

Almost surely, 2^85953131 is an apocalyptic number.

85953131 is a deficient number, since it is larger than the sum of its proper divisors (12749269).

85953131 is a wasteful number, since it uses less digits than its factorization.

85953131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411289.

The product of its digits is 16200, while the sum is 35.

The square root of 85953131 is about 9271.0911439808. The cubic root of 85953131 is about 441.3202956270.

The spelling of 85953131 in words is "eighty-five million, nine hundred fifty-three thousand, one hundred thirty-one".