219704961 has 48 divisors (see below), whose sum is σ = 359078784. Its totient is φ = 117013248.

The previous prime is 219704951. The next prime is 219704963. The reversal of 219704961 is 169407912.

It is not a de Polignac number, because 219704961 - 2⁶ = 219704897 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (219704963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 553215 + ... + 553611.

It is an arithmetic number, because the mean of its divisors is an integer number (7480808).

Almost surely, 2^219704961 is an apocalyptic number.

219704961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

219704961 is a deficient number, since it is larger than the sum of its proper divisors (139373823).

219704961 is a wasteful number, since it uses less digits than its factorization.

219704961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 219704961 is about 14822.4478747608. The cubic root of 219704961 is about 603.4110901347.

The spelling of 219704961 in words is "two hundred nineteen million, seven hundred four thousand, nine hundred sixty-one".