19902825 has 36 divisors (see below), whose sum is σ = 36342540. Its totient is φ = 10408320.

The previous prime is 19902821. The next prime is 19902829. The reversal of 19902825 is 52820991.

It is an interprime number because it is at equal distance from previous prime (19902821) and next prime (19902829).

It can be written as a sum of positive squares in 6 ways, for example, as 2304 + 19900521 = 48^2 + 4461^2 .

It is not a de Polignac number, because 19902825 - 2² = 19902821 is a prime.

It is a super-2 number, since 2×19902825² = 792244885961250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 19902825.

It is not an unprimeable number, because it can be changed into a prime (19902821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11091 + ... + 12759.

It is an arithmetic number, because the mean of its divisors is an integer number (1009515).

Almost surely, 2^19902825 is an apocalyptic number.

19902825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19902825 is the 2385-th nonagonal number.

It is an amenable number.

19902825 is a deficient number, since it is larger than the sum of its proper divisors (16439715).

19902825 is a wasteful number, since it uses less digits than its factorization.

19902825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 19902825 is about 4461.2582305892. The cubic root of 19902825 is about 271.0014251728.

The spelling of 19902825 in words is "nineteen million, nine hundred two thousand, eight hundred twenty-five".