3954961 has 2 divisors, whose sum is σ = 3954962. Its totient is φ = 3954960.

The previous prime is 3954959. The next prime is 3954971. The reversal of 3954961 is 1694593.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2954961 + 1000000 = 1719^2 + 1000^2 .

It is a cyclic number.

It is not a de Polignac number, because 3954961 - 2¹ = 3954959 is a prime.

Together with 3954959, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 3954961.

It is not a weakly prime, because it can be changed into another prime (3954971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1977480 + 1977481.

It is an arithmetic number, because the mean of its divisors is an integer number (1977481).

Almost surely, 2^3954961 is an apocalyptic number.

It is an amenable number.

3954961 is a deficient number, since it is larger than the sum of its proper divisors (1).

3954961 is an equidigital number, since it uses as much as digits as its factorization.

3954961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 29160, while the sum is 37.

The square root of 3954961 is about 1988.7083748001. The cubic root of 3954961 is about 158.1420636493.

It can be divided in two parts, 395 and 4961, that added together give a triangular number (5356 = T₁₀₃).

The spelling of 3954961 in words is "three million, nine hundred fifty-four thousand, nine hundred sixty-one".