10077852 has 24 divisors (see below), whose sum is σ = 24274432. Its totient is φ = 3250800.

The previous prime is 10077833. The next prime is 10077853. The reversal of 10077852 is 25877001.

It is a happy number.

10077852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10077853) 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, 13174 + ... + 13917.

Almost surely, 2^10077852 is an apocalyptic number.

10077852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10077852 is an abundant number, since it is smaller than the sum of its proper divisors (14196580).

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

10077852 is a wasteful number, since it uses less digits than its factorization.

10077852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27129 (or 27127 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 10077852 is about 3174.5632770509. The cubic root of 10077852 is about 216.0011145347.

The spelling of 10077852 in words is "ten million, seventy-seven thousand, eight hundred fifty-two".