35997552 has 120 divisors (see below), whose sum is σ = 108326400. Its totient is φ = 11124864.

The previous prime is 35997539. The next prime is 35997581. The reversal of 35997552 is 25579953.

35997552 is a `hidden beast` number, since 3 + 5 + 9 + 97 + 552 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (425250) is a multiple of the sum of its prime factors (315).

It is a junction number, because it is equal to n+sod(n) for n = 35997498 and 35997507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161313 + ... + 161535.

It is an arithmetic number, because the mean of its divisors is an integer number (902720).

Almost surely, 2^35997552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35997552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54163200).

35997552 is an abundant number, since it is smaller than the sum of its proper divisors (72328848).

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

35997552 is a wasteful number, since it uses less digits than its factorization.

35997552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 306 counting only the distinct ones).

The product of its digits is 425250, while the sum is 45.

The square root of 35997552 is about 5999.7959965319. The cubic root of 35997552 is about 330.1852403514.

The spelling of 35997552 in words is "thirty-five million, nine hundred ninety-seven thousand, five hundred fifty-two".