83714742225 has 27 divisors (see below), whose sum is σ = 149950178833. Its totient is φ = 44645547840.

The previous prime is 83714742193. The next prime is 83714742257. The reversal of 83714742225 is 52224741738.

The square root of 83714742225 is 289335.

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

83714742225 is a `hidden beast` number, since 83 + 7 + 147 + 422 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (83714742193) and next prime (83714742257).

It can be written as a sum of positive squares in 4 ways, for example, as 293128641 + 83421613584 = 17121^2 + 288828^2 .

It is not a de Polignac number, because 83714742225 - 2⁵ = 83714742193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4330381 + ... + 4349669.

Almost surely, 2^83714742225 is an apocalyptic number.

83714742225 is the 289335-th square number.

83714742225 is the 144668-th centered octagonal number.

It is an amenable number.

83714742225 is a deficient number, since it is larger than the sum of its proper divisors (66235436608).

83714742225 is an frugal number, since it uses more digits than its factorization.

83714742225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38594 (or 19297 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The spelling of 83714742225 in words is "eighty-three billion, seven hundred fourteen million, seven hundred forty-two thousand, two hundred twenty-five".