21753414 has 32 divisors (see below), whose sum is σ = 48851040. Its totient is φ = 7174656.

The previous prime is 21753409. The next prime is 21753419. The reversal of 21753414 is 41435712.

It is an interprime number because it is at equal distance from previous prime (21753409) and next prime (21753419).

It is a super-2 number, since 2×21753414² = 946422041310792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21753419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3162 + ... + 7314.

It is an arithmetic number, because the mean of its divisors is an integer number (1526595).

Almost surely, 2^21753414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21753414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24425520).

21753414 is an abundant number, since it is smaller than the sum of its proper divisors (27097626).

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

21753414 is a wasteful number, since it uses less digits than its factorization.

21753414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4255 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 21753414 is about 4664.0555314018. The cubic root of 21753414 is about 279.1531128590.

The spelling of 21753414 in words is "twenty-one million, seven hundred fifty-three thousand, four hundred fourteen".