957409 has 2 divisors, whose sum is σ = 957410. Its totient is φ = 957408.

The previous prime is 957403. The next prime is 957413. The reversal of 957409 is 904759.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 819025 + 138384 = 905^2 + 372^2 .

It is an emirp because it is prime and its reverse (904759) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 957409 - 2¹⁵ = 924641 is a prime.

It is not a weakly prime, because it can be changed into another prime (957403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 478704 + 478705.

It is an arithmetic number, because the mean of its divisors is an integer number (478705).

2⁹⁵⁷⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

957409 is a deficient number, since it is larger than the sum of its proper divisors (1).

957409 is an equidigital number, since it uses as much as digits as its factorization.

957409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 957409 is about 978.4727896063. The cubic root of 957409 is about 98.5596536279.

Subtracting from 957409 its reverse (904759), we obtain a triangular number (52650 = T₃₂₄).

The spelling of 957409 in words is "nine hundred fifty-seven thousand, four hundred nine".