2736963 has 16 divisors (see below), whose sum is σ = 4085760. Its totient is φ = 1810728.

The previous prime is 2736961. The next prime is 2736967. The reversal of 2736963 is 3696372.

It is not a de Polignac number, because 2736963 - 2¹ = 2736961 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2736961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4206 + ... + 4812.

It is an arithmetic number, because the mean of its divisors is an integer number (255360).

2^2736963 is an apocalyptic number.

2736963 is a deficient number, since it is larger than the sum of its proper divisors (1348797).

2736963 is a wasteful number, since it uses less digits than its factorization.

2736963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 777 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 2736963 is about 1654.3769219860. The cubic root of 2736963 is about 139.8802206793.

It can be divided in two parts, 27 and 36963, that multiplied together give a square (998001 = 999²).

The spelling of 2736963 in words is "two million, seven hundred thirty-six thousand, nine hundred sixty-three".