1313657 has 2 divisors, whose sum is σ = 1313658. Its totient is φ = 1313656.

The previous prime is 1313651. The next prime is 1313677. The reversal of 1313657 is 7563131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 958441 + 355216 = 979^2 + 596^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313657 - 2¹⁴ = 1297273 is a prime.

It is a Chen prime.

It is an Ulam number.

It is equal to p₁₀₀₉₈₈ and since 1313657 and 100988 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (1313651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656828 + 656829.

It is an arithmetic number, because the mean of its divisors is an integer number (656829).

2^1313657 is an apocalyptic number.

It is an amenable number.

1313657 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313657 is an equidigital number, since it uses as much as digits as its factorization.

1313657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1890, while the sum is 26.

The square root of 1313657 is about 1146.1487687033. The cubic root of 1313657 is about 109.5201411350.

Adding to 1313657 its reverse (7563131), we get a palindrome (8876788).

It can be divided in two parts, 1313 and 657, that multiplied together give a triangular number (862641 = T₁₃₁₃).

The spelling of 1313657 in words is "one million, three hundred thirteen thousand, six hundred fifty-seven".