2963961 has 72 divisors (see below), whose sum is σ = 5975424. Its totient is φ = 1391040.

The previous prime is 2963957. The next prime is 2963971. The reversal of 2963961 is 1693692.

2963961 = T₄₅₅ + T₄₅₆ + ... + T₄₈₁.

It is not a de Polignac number, because 2963961 - 2² = 2963957 is a prime.

Its product of digits (17496) is a multiple of the sum of its prime divisors (81).

2963961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2963911) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63040 + ... + 63086.

It is an arithmetic number, because the mean of its divisors is an integer number (82992).

2^2963961 is an apocalyptic number.

2963961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2963961 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2963961 is a wasteful number, since it uses less digits than its factorization.

2963961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 81 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 2963961 is about 1721.6158108010. The cubic root of 2963961 is about 143.6451040672.

The spelling of 2963961 in words is "two million, nine hundred sixty-three thousand, nine hundred sixty-one".