1658036961 has 45 divisors (see below), whose sum is σ = 2804055891. Its totient is φ = 944029296.

The previous prime is 1658036951. The next prime is 1658036969. The reversal of 1658036961 is 1696308561.

The square root of 1658036961 is 40719.

It is a perfect power (a square), and thus also a powerful number.

1658036961 is a `hidden beast` number, since 1 + 6 + 580 + 3 + 6 + 9 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 285779025 + 1372257936 = 16905^2 + 37044^2 .

It is not a de Polignac number, because 1658036961 - 2⁵ = 1658036929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1658036969) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5985555 + ... + 5985831.

Almost surely, 2^1658036961 is an apocalyptic number.

1658036961 is the 40719-th square number.

1658036961 is the 20360-th centered octagonal number.

It is an amenable number.

1658036961 is a deficient number, since it is larger than the sum of its proper divisors (1146018930).

1658036961 is an frugal number, since it uses more digits than its factorization.

1658036961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The cubic root of 1658036961 is about 1183.5812299706.

The spelling of 1658036961 in words is "one billion, six hundred fifty-eight million, thirty-six thousand, nine hundred sixty-one".