2013957 has 16 divisors (see below), whose sum is σ = 3255360. Its totient is φ = 1220400.

The previous prime is 2013941. The next prime is 2013967. The reversal of 2013957 is 7593102.

It is not a de Polignac number, because 2013957 - 2⁴ = 2013941 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2013957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3094 + ... + 3687.

It is an arithmetic number, because the mean of its divisors is an integer number (203460).

2^2013957 is an apocalyptic number.

2013957 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2013957 is a deficient number, since it is larger than the sum of its proper divisors (1241403).

2013957 is a wasteful number, since it uses less digits than its factorization.

2013957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6801 (or 6795 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 2013957 is about 1419.1395280239. The cubic root of 2013957 is about 126.2845045055.

The spelling of 2013957 in words is "two million, thirteen thousand, nine hundred fifty-seven".