73085401 has 9 divisors (see below), whose sum is σ = 74701749. Its totient is φ = 71503836.

The previous prime is 73085399. The next prime is 73085413. The reversal of 73085401 is 10458037.

The square root of 73085401 is 8549.

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

It is not a de Polignac number, because 73085401 - 2¹ = 73085399 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73085401.

It is not an unprimeable number, because it can be changed into a prime (73085461) 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, 709516 + ... + 709618.

Almost surely, 2^73085401 is an apocalyptic number.

73085401 is the 8549-th square number.

73085401 is the 4275-th centered octagonal number.

It is an amenable number.

73085401 is a deficient number, since it is larger than the sum of its proper divisors (1616348).

73085401 is an frugal number, since it uses more digits than its factorization.

73085401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The cubic root of 73085401 is about 418.0968331783.

The spelling of 73085401 in words is "seventy-three million, eighty-five thousand, four hundred one".