21071952 has 120 divisors (see below), whose sum is σ = 65808288. Its totient is φ = 6240000.

The previous prime is 21071927. The next prime is 21071977. The reversal of 21071952 is 25917012.

It is an interprime number because it is at equal distance from previous prime (21071927) and next prime (21071977).

It is a super-2 number, since 2×21071952² = 888054322180608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83827 + ... + 84077.

Almost surely, 2^21071952 is an apocalyptic number.

21071952 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 21071952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32904144).

21071952 is an abundant number, since it is smaller than the sum of its proper divisors (44736336).

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

21071952 is a wasteful number, since it uses less digits than its factorization.

21071952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 21071952 is about 4590.4195886651. The cubic root of 21071952 is about 276.2071538690.

Adding to 21071952 its reverse (25917012), we get a palindrome (46988964).

The spelling of 21071952 in words is "twenty-one million, seventy-one thousand, nine hundred fifty-two".