85955757 has 8 divisors (see below), whose sum is σ = 121349376. Its totient is φ = 53932992.

The previous prime is 85955741. The next prime is 85955767. The reversal of 85955757 is 75755958.

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

It is not a de Polignac number, because 85955757 - 2⁴ = 85955741 is a prime.

It is a super-2 number, since 2×85955757² = 14776784322886098, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51), and also a Moran number because the ratio is a prime number: 1685407 = 85955757 / (8 + 5 + 9 + 5 + 5 + 7 + 5 + 7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85955767) 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, 842653 + ... + 842754.

It is an arithmetic number, because the mean of its divisors is an integer number (15168672).

Almost surely, 2^85955757 is an apocalyptic number.

It is an amenable number.

85955757 is a deficient number, since it is larger than the sum of its proper divisors (35393619).

85955757 is a wasteful number, since it uses less digits than its factorization.

85955757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685427.

The product of its digits is 2205000, while the sum is 51.

The square root of 85955757 is about 9271.2327659271. The cubic root of 85955757 is about 441.3247899186.

It can be divided in two parts, 859 and 55757, that added together give a triangular number (56616 = T₃₃₆).

The spelling of 85955757 in words is "eighty-five million, nine hundred fifty-five thousand, seven hundred fifty-seven".