46785961 has 24 divisors (see below), whose sum is σ = 52806600. Its totient is φ = 41368320.

The previous prime is 46785943. The next prime is 46785971. The reversal of 46785961 is 16958764.

It can be written as a sum of positive squares in 4 ways, for example, as 2310400 + 44475561 = 1520^2 + 6669^2 .

It is not a de Polignac number, because 46785961 - 2¹³ = 46777769 is a prime.

It is a super-2 number, since 2×46785961² = 4377852293387042, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46785901) by changing a digit.

It is a nontrivial repunit in base 360.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429175 + ... + 429283.

It is an arithmetic number, because the mean of its divisors is an integer number (2200275).

Almost surely, 2^46785961 is an apocalyptic number.

46785961 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

46785961 is a deficient number, since it is larger than the sum of its proper divisors (6020639).

46785961 is a wasteful number, since it uses less digits than its factorization.

46785961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The square root of 46785961 is about 6840.0263888380. The cubic root of 46785961 is about 360.3339519469. Note that the first 3 decimals are identical.

The spelling of 46785961 in words is "forty-six million, seven hundred eighty-five thousand, nine hundred sixty-one".