35820225 has 135 divisors (see below), whose sum is σ = 81460467. Its totient is φ = 15513120.

The previous prime is 35820217. The next prime is 35820229. The reversal of 35820225 is 52202853.

The square root of 35820225 is 5985.

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., 12895281 + 22924944 = 3591^2 + 4788^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 35820225 - 2³ = 35820217 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (35820229) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1885266 + ... + 1885284.

Almost surely, 2^35820225 is an apocalyptic number.

35820225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

35820225 is the 5985-th square number.

35820225 is the 2993-rd centered octagonal number.

It is an amenable number.

35820225 is an abundant number, since it is smaller than the sum of its proper divisors (45640242).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35820225 is a wasteful number, since it uses less digits than its factorization.

35820225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The cubic root of 35820225 is about 329.6421741257.

The spelling of 35820225 in words is "thirty-five million, eight hundred twenty thousand, two hundred twenty-five".