86901353 has 18 divisors (see below), whose sum is σ = 111122298. Its totient is φ = 67710720.

The previous prime is 86901341. The next prime is 86901359. The reversal of 86901353 is 35310968.

It can be written as a sum of positive squares in only one way, i.e., 86806489 + 94864 = 9317^2 + 308^2 .

It is not a de Polignac number, because 86901353 - 2¹⁰ = 86900329 is a prime.

86901353 is a modest number, since divided by 1353 gives 869 as remainder.

It is not an unprimeable number, because it can be changed into a prime (86901359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1400 + ... + 13257.

It is an arithmetic number, because the mean of its divisors is an integer number (6173461).

Almost surely, 2^86901353 is an apocalyptic number.

It is an amenable number.

86901353 is a deficient number, since it is larger than the sum of its proper divisors (24220945).

86901353 is a wasteful number, since it uses less digits than its factorization.

86901353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14693 (or 14675 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 86901353 is about 9322.0895189866. The cubic root of 86901353 is about 442.9372239058.

The spelling of 86901353 in words is "eighty-six million, nine hundred one thousand, three hundred fifty-three".