84658401 has 9 divisors (see below), whose sum is σ = 122324241. Its totient is φ = 56420532.

The previous prime is 84658393. The next prime is 84658411. The reversal of 84658401 is 10485648.

The square root of 84658401 is 9201.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 84658401 - 2³ = 84658393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84658411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26070 + ... + 29136.

Almost surely, 2^84658401 is an apocalyptic number.

84658401 is the 9201-st square number.

84658401 is the 4601-st centered octagonal number.

It is an amenable number.

84658401 is a deficient number, since it is larger than the sum of its proper divisors (37665840).

84658401 is an frugal number, since it uses more digits than its factorization.

84658401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6140 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The cubic root of 84658401 is about 439.0931753942.

Multiplying 84658401 by its sum of digits (36), we get a square (3047702436 = 55206²).

The spelling of 84658401 in words is "eighty-four million, six hundred fifty-eight thousand, four hundred one".