2736825 has 48 divisors (see below), whose sum is σ = 5582976. Its totient is φ = 1152000.

The previous prime is 2736787. The next prime is 2736863. The reversal of 2736825 is 5286372.

2736825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2736787) and next prime (2736863).

It is not a de Polignac number, because 2736825 - 2⁹ = 2736313 is a prime.

It is a super-2 number, since 2×2736825² = 14980422161250, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹³ + 7³ + 3² + 6⁸ + 8² + 2²⁰ + 5² .

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6625 + ... + 7025.

It is an arithmetic number, because the mean of its divisors is an integer number (116312).

2^2736825 is an apocalyptic number.

2736825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2736825 is an abundant number, since it is smaller than the sum of its proper divisors (2846151).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2736825 is a wasteful number, since it uses less digits than its factorization.

2736825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 429 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 2736825 is about 1654.3352139152. The cubic root of 2736825 is about 139.8778696799.

It can be divided in two parts, 273 and 6825, that multiplied together give a square (1863225 = 1365²).

The spelling of 2736825 in words is "two million, seven hundred thirty-six thousand, eight hundred twenty-five".