85961307 has 8 divisors (see below), whose sum is σ = 118567440. Its totient is φ = 55331360.

The previous prime is 85961279. The next prime is 85961311. The reversal of 85961307 is 70316958.

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 85961307 - 2⁷ = 85961179 is a prime.

It is a super-2 number, since 2×85961307² = 14778692602296498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85961387) 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, 493944 + ... + 494117.

It is an arithmetic number, because the mean of its divisors is an integer number (14820930).

Almost surely, 2^85961307 is an apocalyptic number.

85961307 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

85961307 is a deficient number, since it is larger than the sum of its proper divisors (32606133).

85961307 is a wasteful number, since it uses less digits than its factorization.

85961307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988093.

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 85961307 is about 9271.5320740426. The cubic root of 85961307 is about 441.3342882154.

It can be divided in two parts, 85961 and 307, that added together give a palindrome (86268).

The spelling of 85961307 in words is "eighty-five million, nine hundred sixty-one thousand, three hundred seven".