85167667225 has 9 divisors (see below), whose sum is σ = 105609716767. Its totient is φ = 68132966440.

The previous prime is 85167667171. The next prime is 85167667253. The reversal of 85167667225 is 52276676158.

It is a happy number.

The square root of 85167667225 is 291835.

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

It can be written as a sum of positive squares in only one way, i.e., 30660360201 + 54507307024 = 175101^2 + 233468^2 .

It is not a de Polignac number, because 85167667225 - 2²¹ = 85165570073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1429992 + ... + 1488358.

Almost surely, 2^85167667225 is an apocalyptic number.

85167667225 is the 291835-th square number.

85167667225 is the 145918-th centered octagonal number.

It is an amenable number.

85167667225 is a deficient number, since it is larger than the sum of its proper divisors (20442049542).

85167667225 is an frugal number, since it uses more digits than its factorization.

85167667225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116744 (or 58372 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 55.

The spelling of 85167667225 in words is "eighty-five billion, one hundred sixty-seven million, six hundred sixty-seven thousand, two hundred twenty-five".