86292141 has 32 divisors (see below), whose sum is σ = 127733760. Its totient is φ = 51486144.

The previous prime is 86292133. The next prime is 86292163. The reversal of 86292141 is 14129268.

It is not a de Polignac number, because 86292141 - 2³ = 86292133 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86292131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327976 + ... + 328238.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2^86292141 is an apocalyptic number.

It is an amenable number.

86292141 is a deficient number, since it is larger than the sum of its proper divisors (41441619).

86292141 is a wasteful number, since it uses less digits than its factorization.

86292141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505.

The product of its digits is 6912, while the sum is 33.

The square root of 86292141 is about 9289.3563286161. The cubic root of 86292141 is about 441.8997421438.

The spelling of 86292141 in words is "eighty-six million, two hundred ninety-two thousand, one hundred forty-one".