10257977 has 8 divisors (see below), whose sum is σ = 10736064. Its totient is φ = 9782608.

The previous prime is 10257959. The next prime is 10257979. The reversal of 10257977 is 77975201.

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

It is a cyclic number.

It is not a de Polignac number, because 10257977 - 2¹⁴ = 10241593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10257977.

It is not an unprimeable number, because it can be changed into a prime (10257979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14678 + ... + 15360.

It is an arithmetic number, because the mean of its divisors is an integer number (1342008).

Almost surely, 2^10257977 is an apocalyptic number.

It is an amenable number.

10257977 is a deficient number, since it is larger than the sum of its proper divisors (478087).

10257977 is an equidigital number, since it uses as much as digits as its factorization.

10257977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359.

The product of its (nonzero) digits is 30870, while the sum is 38.

The square root of 10257977 is about 3202.8076745256. The cubic root of 10257977 is about 217.2804107802.

The spelling of 10257977 in words is "ten million, two hundred fifty-seven thousand, nine hundred seventy-seven".