85882251 has 36 divisors (see below), whose sum is σ = 144281592. Its totient is φ = 45287424.

The previous prime is 85882193. The next prime is 85882267. The reversal of 85882251 is 15228858.

It is not a de Polignac number, because 85882251 - 2⁶ = 85882187 is a prime.

It is a super-2 number, since 2×85882251² = 14751522073654002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85882271) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23115 + ... + 26571.

It is an arithmetic number, because the mean of its divisors is an integer number (4007822).

Almost surely, 2^85882251 is an apocalyptic number.

85882251 is a deficient number, since it is larger than the sum of its proper divisors (58399341).

85882251 is a wasteful number, since it uses less digits than its factorization.

85882251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3480 counting only the distinct ones).

The product of its digits is 51200, while the sum is 39.

The square root of 85882251 is about 9267.2677203154. The cubic root of 85882251 is about 441.1989528109.

The spelling of 85882251 in words is "eighty-five million, eight hundred eighty-two thousand, two hundred fifty-one".