21146007 has 8 divisors (see below), whose sum is σ = 28222960. Its totient is φ = 14083200.

The previous prime is 21145991. The next prime is 21146023. The reversal of 21146007 is 70064112.

It is an interprime number because it is at equal distance from previous prime (21145991) and next prime (21146023).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 21146007 - 2⁴ = 21145991 is a prime.

It is a super-3 number, since 3×21146007³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21146057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 669 + ... + 6537.

It is an arithmetic number, because the mean of its divisors is an integer number (3527870).

Almost surely, 2^21146007 is an apocalyptic number.

21146007 is a deficient number, since it is larger than the sum of its proper divisors (7076953).

21146007 is a wasteful number, since it uses less digits than its factorization.

21146007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7073.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 21146007 is about 4598.4787702022. The cubic root of 21146007 is about 276.5303418640.

The spelling of 21146007 in words is "twenty-one million, one hundred forty-six thousand, seven".