33887287225 has 27 divisors (see below), whose sum is σ = 46201336111. Its totient is φ = 24637936400.

The previous prime is 33887287211. The next prime is 33887287249. The reversal of 33887287225 is 52278278833.

The square root of 33887287225 is 184085.

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., 12199423401 + 21687863824 = 110451^2 + 147268^2 .

It is not a de Polignac number, because 33887287225 - 2⁷ = 33887287097 is a prime.

It is a super-2 number, since 2×33887287225² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

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, 10123002 + ... + 10126348.

Almost surely, 2^33887287225 is an apocalyptic number.

33887287225 is the 184085-th square number.

33887287225 is the 92043-rd centered octagonal number.

It is an amenable number.

33887287225 is a deficient number, since it is larger than the sum of its proper divisors (12314048886).

33887287225 is an frugal number, since it uses more digits than its factorization.

33887287225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6726 (or 3363 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 55.

The spelling of 33887287225 in words is "thirty-three billion, eight hundred eighty-seven million, two hundred eighty-seven thousand, two hundred twenty-five".