49257 has 12 divisors (see below), whose sum is σ = 76804. Its totient is φ = 30240.

The previous prime is 49253. The next prime is 49261. The reversal of 49257 is 75294.

It is an interprime number because it is at equal distance from previous prime (49253) and next prime (49261).

It can be written as a sum of positive squares in 2 ways, for example, as 2601 + 46656 = 51^2 + 216^2 .

It is not a de Polignac number, because 49257 - 2² = 49253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 49257.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49257.

It is not an unprimeable number, because it can be changed into a prime (49253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94 + ... + 327.

2⁴⁹²⁵⁷ is an apocalyptic number.

It is an amenable number.

49257 is a deficient number, since it is larger than the sum of its proper divisors (27547).

49257 is a wasteful number, since it uses less digits than its factorization.

49257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 437 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 49257 is about 221.9391808582. The cubic root of 49257 is about 36.6569211933.

Adding to 49257 its sum of digits (27), we get a square (49284 = 222²).

It can be divided in two parts, 4 and 9257, that added together give a cube (9261 = 21³).

The spelling of 49257 in words is "forty-nine thousand, two hundred fifty-seven".