947401 has 16 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 721728.

The previous prime is 947389. The next prime is 947407. The reversal of 947401 is 104749.

It is not a de Polignac number, because 947401 - 2⁵ = 947369 is a prime.

947401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (947407) 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 15 ways as a sum of consecutive naturals, for example, 2460 + ... + 2818.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

2⁹⁴⁷⁴⁰¹ is an apocalyptic number.

947401 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

947401 is a deficient number, since it is larger than the sum of its proper divisors (262199).

947401 is a wasteful number, since it uses less digits than its factorization.

947401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 947401 is about 973.3452624840. The cubic root of 947401 is about 98.2150283328.

Subtracting from 947401 its sum of digits (25), we obtain a triangular number (947376 = T₁₃₇₆).

The spelling of 947401 in words is "nine hundred forty-seven thousand, four hundred one".