85958451 has 18 divisors (see below), whose sum is σ = 130881660. Its totient is φ = 54212976.

The previous prime is 85958447. The next prime is 85958461. The reversal of 85958451 is 15485958.

It is a happy number.

85958451 is a `hidden beast` number, since 8 + 595 + 8 + 4 + 51 = 666.

It is not a de Polignac number, because 85958451 - 2² = 85958447 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85958397 and 85958406.

It is not an unprimeable number, because it can be changed into a prime (85958461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 120885 + ... + 121593.

Almost surely, 2^85958451 is an apocalyptic number.

85958451 is a deficient number, since it is larger than the sum of its proper divisors (44923209).

85958451 is an equidigital number, since it uses as much as digits as its factorization.

85958451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 731 counting only the distinct ones).

The product of its digits is 288000, while the sum is 45.

The square root of 85958451 is about 9271.3780529110. The cubic root of 85958451 is about 441.3294004942.

The spelling of 85958451 in words is "eighty-five million, nine hundred fifty-eight thousand, four hundred fifty-one".