8181957 has 16 divisors (see below), whose sum is σ = 12561920. Its totient is φ = 4640112.

The previous prime is 8181949. The next prime is 8181959. The reversal of 8181957 is 7591818.

It is not a de Polignac number, because 8181957 - 2³ = 8181949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8181959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1518 + ... + 4320.

It is an arithmetic number, because the mean of its divisors is an integer number (785120).

Almost surely, 2^8181957 is an apocalyptic number.

It is an amenable number.

8181957 is a deficient number, since it is larger than the sum of its proper divisors (4379963).

8181957 is a wasteful number, since it uses less digits than its factorization.

8181957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952.

The product of its digits is 20160, while the sum is 39.

The square root of 8181957 is about 2860.4120332567. The cubic root of 8181957 is about 201.5049554738.

It can be divided in two parts, 818 and 1957, that added together give a triangular number (2775 = T₇₄).

The spelling of 8181957 in words is "eight million, one hundred eighty-one thousand, nine hundred fifty-seven".