258214961 has 8 divisors (see below), whose sum is σ = 259660800. Its totient is φ = 256773888.

The previous prime is 258214919. The next prime is 258214973. The reversal of 258214961 is 169412852.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 258214961 - 2¹⁸ = 257952817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258214991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164000 + ... + 165566.

It is an arithmetic number, because the mean of its divisors is an integer number (32457600).

Almost surely, 2^258214961 is an apocalyptic number.

It is an amenable number.

258214961 is a deficient number, since it is larger than the sum of its proper divisors (1445839).

258214961 is a wasteful number, since it uses less digits than its factorization.

258214961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383.

The product of its digits is 34560, while the sum is 38.

The square root of 258214961 is about 16069.0684546429. The cubic root of 258214961 is about 636.7864309050.

The spelling of 258214961 in words is "two hundred fifty-eight million, two hundred fourteen thousand, nine hundred sixty-one".