86642829 has 96 divisors (see below), whose sum is σ = 167731200. Its totient is φ = 42674688.

The previous prime is 86642783. The next prime is 86642833. The reversal of 86642829 is 92824668.

86642829 = T₃₉₂ + T₃₉₃ + ... + T₈₃₃.

It is not a de Polignac number, because 86642829 - 2⁹ = 86642317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86642839) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 682164 + ... + 682290.

It is an arithmetic number, because the mean of its divisors is an integer number (1747200).

Almost surely, 2^86642829 is an apocalyptic number.

It is an amenable number.

86642829 is a deficient number, since it is larger than the sum of its proper divisors (81088371).

86642829 is a wasteful number, since it uses less digits than its factorization.

86642829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 86642829 is about 9308.2129863900. The cubic root of 86642829 is about 442.4975543291.

The spelling of 86642829 in words is "eighty-six million, six hundred forty-two thousand, eight hundred twenty-nine".