39825006 has 64 divisors (see below), whose sum is σ = 90961920. Its totient is φ = 11531520.

The previous prime is 39824989. The next prime is 39825017. The reversal of 39825006 is 60052893.

It is a happy number.

It is a super-2 number, since 2×39825006² = 3172062205800072, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141586 + ... + 141866.

It is an arithmetic number, because the mean of its divisors is an integer number (1421280).

Almost surely, 2^39825006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39825006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45480960).

39825006 is an abundant number, since it is smaller than the sum of its proper divisors (51136914).

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

39825006 is a wasteful number, since it uses less digits than its factorization.

39825006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 39825006 is about 6310.7056657715. The cubic root of 39825006 is about 341.4957343942.

Adding to 39825006 its reverse (60052893), we get a palindrome (99877899).

The spelling of 39825006 in words is "thirty-nine million, eight hundred twenty-five thousand, six".