162962952 has 64 divisors (see below), whose sum is σ = 434808000. Its totient is φ = 50718720.

The previous prime is 162962951. The next prime is 162962993. The reversal of 162962952 is 259269261.

It is not an unprimeable number, because it can be changed into a prime (162962951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51924 + ... + 54972.

It is an arithmetic number, because the mean of its divisors is an integer number (6793875).

Almost surely, 2^162962952 is an apocalyptic number.

162962952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162962952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217404000).

162962952 is an abundant number, since it is smaller than the sum of its proper divisors (271845048).

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

162962952 is a wasteful number, since it uses less digits than its factorization.

162962952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3202 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 162962952 is about 12765.6943406929. The cubic root of 162962952 is about 546.2141681520.

The spelling of 162962952 in words is "one hundred sixty-two million, nine hundred sixty-two thousand, nine hundred fifty-two".