1957131 has 24 divisors (see below), whose sum is σ = 3150576. Its totient is φ = 1160640.

The previous prime is 1957129. The next prime is 1957147. The reversal of 1957131 is 1317591.

It is a happy number.

It is not a de Polignac number, because 1957131 - 2¹ = 1957129 is a prime.

It is a super-2 number, since 2×1957131² = 7660723502322, which contains 22 as substring.

1957131 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1957095 and 1957104.

It is not an unprimeable number, because it can be changed into a prime (1957121) 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 23 ways as a sum of consecutive naturals, for example, 5061 + ... + 5433.

It is an arithmetic number, because the mean of its divisors is an integer number (131274).

2^1957131 is an apocalyptic number.

1957131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1957131 is a deficient number, since it is larger than the sum of its proper divisors (1193445).

1957131 is a wasteful number, since it uses less digits than its factorization.

1957131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 440 counting only the distinct ones).

The product of its digits is 945, while the sum is 27.

The square root of 1957131 is about 1398.9749819064. The cubic root of 1957131 is about 125.0854029707.

The spelling of 1957131 in words is "one million, nine hundred fifty-seven thousand, one hundred thirty-one".