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1957 = 19103

1957 has 4 divisors (see below), whose sum is σ = 2080. Its totient is φ = 1836.

The previous prime is 1951. The next prime is 1973. The reversal of 1957 is 7591.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1957 - 23 = 1949 is a prime.

It is a Duffinian number.

1957 is a modest number, since divided by 57 gives 19 as remainder.

It is a nialpdrome in base 13.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33 + ... + 70.

It is an arithmetic number, because the mean of its divisors is an integer number (520).

21957 is an apocalyptic number.

It is an amenable number.

1957 is a deficient number, since it is larger than the sum of its proper divisors (123).

1957 is a wasteful number, since it uses less digits than its factorization.

1957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122.

The product of its digits is 315, while the sum is 22.

The square root of 1957 is about 44.2379927212. The cubic root of 1957 is about 12.5082612057.

It can be divided in two parts, 195 and 7, that added together give a palindrome (202).

The spelling of 1957 in words is "one thousand, nine hundred fifty-seven".

Divisors: 1 19 103 1957