21962952 has 72 divisors (see below), whose sum is σ = 65408070. Its totient is φ = 6652800.

The previous prime is 21962933. The next prime is 21963001. The reversal of 21962952 is 25926912.

It is a happy number.

21962952 is a `hidden beast` number, since 21 + 9 + 629 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21958596 + 4356 = 4686^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7452 + ... + 9972.

Almost surely, 2^21962952 is an apocalyptic number.

21962952 is a gapful number since it is divisible by the number (22) 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 21962952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32704035).

21962952 is an abundant number, since it is smaller than the sum of its proper divisors (43445118).

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

21962952 is a wasteful number, since it uses less digits than its factorization.

21962952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2537 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 21962952 is about 4686.4647656843. The cubic root of 21962952 is about 280.0465568842.

The spelling of 21962952 in words is "twenty-one million, nine hundred sixty-two thousand, nine hundred fifty-two".