921951 has 12 divisors (see below), whose sum is σ = 1347840. Its totient is φ = 607200.

The previous prime is 921931. The next prime is 921959. The reversal of 921951 is 159129.

It is a happy number.

It is not a de Polignac number, because 921951 - 2⁵ = 921919 is a prime.

921951 is a modest number, since divided by 21951 gives 9 as remainder.

921951 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (921959) 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 11 ways as a sum of consecutive naturals, for example, 226 + ... + 1376.

It is an arithmetic number, because the mean of its divisors is an integer number (112320).

2⁹²¹⁹⁵¹ is an apocalyptic number.

921951 is a deficient number, since it is larger than the sum of its proper divisors (425889).

921951 is a wasteful number, since it uses less digits than its factorization.

921951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1243 counting only the distinct ones).

The product of its digits is 810, while the sum is 27.

The square root of 921951 is about 960.1827950969. The cubic root of 921951 is about 97.3275848339.

Adding to 921951 its product of digits (810), we get a triangular number (922761 = T₁₃₅₈).

The spelling of 921951 in words is "nine hundred twenty-one thousand, nine hundred fifty-one".