35665542 has 64 divisors (see below), whose sum is σ = 87494400. Its totient is φ = 10679040.

The previous prime is 35665529. The next prime is 35665547. The reversal of 35665542 is 24556653.

It is a happy number.

35665542 is a `hidden beast` number, since 3 + 56 + 65 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 35665497 and 35665506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35665547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57309 + ... + 57927.

It is an arithmetic number, because the mean of its divisors is an integer number (1367100).

Almost surely, 2^35665542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35665542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43747200).

35665542 is an abundant number, since it is smaller than the sum of its proper divisors (51828858).

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

35665542 is a wasteful number, since it uses less digits than its factorization.

35665542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 732 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 35665542 is about 5972.0634624893. The cubic root of 35665542 is about 329.1669899336.

Subtracting from 35665542 its reverse (24556653), we obtain a square (11108889 = 3333²).

The spelling of 35665542 in words is "thirty-five million, six hundred sixty-five thousand, five hundred forty-two".