967380141 has 64 divisors (see below), whose sum is σ = 1651736576. Its totient is φ = 489888000.

The previous prime is 967380131. The next prime is 967380157. The reversal of 967380141 is 141083769.

967380141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 967380141 - 2⁹ = 967379629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 967380141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967380131) 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, 1277535 + ... + 1278291.

It is an arithmetic number, because the mean of its divisors is an integer number (25808384).

Almost surely, 2^967380141 is an apocalyptic number.

967380141 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

967380141 is a deficient number, since it is larger than the sum of its proper divisors (684356435).

967380141 is a wasteful number, since it uses less digits than its factorization.

967380141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962.

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 967380141 is about 31102.7352655679. The cubic root of 967380141 is about 989.0062950229.

The spelling of 967380141 in words is "nine hundred sixty-seven million, three hundred eighty thousand, one hundred forty-one".