712164205 has 16 divisors (see below), whose sum is σ = 867129840. Its totient is φ = 561420288.

The previous prime is 712164199. The next prime is 712164227. The reversal of 712164205 is 502461217.

It can be written as a sum of positive squares in 8 ways, for example, as 459544969 + 252619236 = 21437^2 + 15894^2 .

It is a cyclic number.

It is not a de Polignac number, because 712164205 - 2¹⁵ = 712131437 is a prime.

It is a super-3 number, since 3×712164205³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136729 + ... + 141841.

It is an arithmetic number, because the mean of its divisors is an integer number (54195615).

Almost surely, 2^712164205 is an apocalyptic number.

It is an amenable number.

712164205 is a deficient number, since it is larger than the sum of its proper divisors (154965635).

712164205 is a wasteful number, since it uses less digits than its factorization.

712164205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5520.

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

The square root of 712164205 is about 26686.4048721442. The cubic root of 712164205 is about 893.0176592963.

The spelling of 712164205 in words is "seven hundred twelve million, one hundred sixty-four thousand, two hundred five".