8957949 has 64 divisors (see below), whose sum is σ = 16988160. Its totient is φ = 4043520.

The previous prime is 8957917. The next prime is 8957957. The reversal of 8957949 is 9497598.

8957949 = T₆₄ + T₆₅ + ... + T₃₇₇.

It is a happy number.

It is not a de Polignac number, because 8957949 - 2⁵ = 8957917 is a prime.

Its product of digits (816480) is a multiple of the sum of its prime divisors (210).

It is a Curzon number.

8957949 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8957989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56979 + ... + 57135.

It is an arithmetic number, because the mean of its divisors is an integer number (265440).

Almost surely, 2^8957949 is an apocalyptic number.

It is an amenable number.

8957949 is a deficient number, since it is larger than the sum of its proper divisors (8030211).

8957949 is a wasteful number, since it uses less digits than its factorization.

8957949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210.

The product of its digits is 816480, while the sum is 51.

The square root of 8957949 is about 2992.9832943069. The cubic root of 8957949 is about 207.6839149400.

The spelling of 8957949 in words is "eight million, nine hundred fifty-seven thousand, nine hundred forty-nine".