38007225 has 45 divisors (see below), whose sum is σ = 70920157. Its totient is φ = 20122560.

The previous prime is 38007191. The next prime is 38007241. The reversal of 38007225 is 52270083.

The square root of 38007225 is 6165.

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

It can be written as a sum of positive squares in 4 ways, for example, as 110889 + 37896336 = 333^2 + 6156^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 38007225 - 2⁷ = 38007097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 277357 + ... + 277493.

Almost surely, 2^38007225 is an apocalyptic number.

38007225 is the 6165-th square number.

38007225 is the 3083-rd centered octagonal number.

It is an amenable number.

38007225 is a deficient number, since it is larger than the sum of its proper divisors (32912932).

38007225 is an equidigital number, since it uses as much as digits as its factorization.

38007225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The cubic root of 38007225 is about 336.2188465861.

It can be divided in two parts, 3800 and 7225, that added together give a square (11025 = 105²).

The spelling of 38007225 in words is "thirty-eight million, seven thousand, two hundred twenty-five".