3837273 has 24 divisors (see below), whose sum is σ = 5815008. Its totient is φ = 2250600.

The previous prime is 3837263. The next prime is 3837287. The reversal of 3837273 is 3727383.

It is a happy number.

It is not a de Polignac number, because 3837273 - 2⁵ = 3837241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (21168) is a multiple of the sum of its prime factors (98).

3837273 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3837263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123768 + ... + 123798.

It is an arithmetic number, because the mean of its divisors is an integer number (242292).

Almost surely, 2^3837273 is an apocalyptic number.

3837273 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3837273 is a deficient number, since it is larger than the sum of its proper divisors (1977735).

3837273 is an equidigital number, since it uses as much as digits as its factorization.

3837273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 45 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 3837273 is about 1958.8958624695. The cubic root of 3837273 is about 156.5576279654.

Multiplying 3837273 by its sum of digits (33), we get a square (126630009 = 11253²).

3837273 divided by its sum of digits (33) gives a square (116281 = 341²).

The spelling of 3837273 in words is "three million, eight hundred thirty-seven thousand, two hundred seventy-three".